Trig Functions and Applications

Solve for the missing distance

• 18.9 meters
• 19.5 meters
• 47.2 meters
• 27.5 meters

Choose the correct ratio.

• sin(37)=x/14
• cos(37)=x/14
• tan(37)=x/14
• sin(37)=14/x

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 23 feet
• 43 feet 
• 110 feet 
• 135 feet 

What is the value of x?

• 17.30
• 11.33
• 0.06
• 23.82

Find the measure of the indicated angle.  

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft
• 65 ft
• 74 ft
• 87 ft

What is the value of x?

• 9.17
• 98.13
• 0.11
• 26.69

Set up the problem so that you can solve for X.

• sin X = 41/28

• tan X = 41/28

• cos X = 28/41

• sin X = 28/41

Sam views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

• 19^o

• 45^o

• 71^o

• 138^o